BlellA Currently, the game no longer recognized the anchors as a hitbox when inside the boundaries of parts so you have to use holes on the fighter ships to get them moored. So simpler you place the mooring points such that they surround and box the fighter into place. This basically what Kroom's mod does. With Abh you can optimize and use less anchor points (less laggy because less collision checks).
For supplying Abh has the docking_reload_stations for internal and external.